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July 28th, 2014, 04:56 PM  #1 
Senior Member Joined: Jan 2012 Posts: 745 Thanks: 7  What in terms of x, is 30% of 3y?
If 30% of y is equal to x, what, in terms of x, is 30% of 3y? 30% of y=$\displaystyle \frac{30}{100}\times{y}=\frac{3}{10}\times{y}$ $\longrightarrow$ $\frac{3}{10}\times{y}=x$ 30% of 3y =$\frac{3}{10}\times3y$ What do I make of these? Last edited by Chikis; July 28th, 2014 at 05:17 PM. 
July 28th, 2014, 06:10 PM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,663 Thanks: 2642 Math Focus: Mainly analysis and algebra 
$$3y = 3 \times y \\ a \times ( b \times c ) = a \times ( c \times b ) = ( a \times c ) \times b$$ Because multiplication is both commutative and associative. 
July 28th, 2014, 06:39 PM  #3 
Senior Member Joined: Nov 2013 From: Baku Posts: 502 Thanks: 56 Math Focus: Geometry 
30% of y is equal to x means 0.3y=x, 30% of 3y means 0.3*3y=3*0.3y=3x...... 
July 28th, 2014, 06:48 PM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 14,581 Thanks: 1038 
.3y = x .3(3y) = 3x or 3(.3y) = 3x (each side has been multiplied by 3) I see you're still wearing your priestly robe, Chikis... Do you sell holy water? Last edited by Denis; July 28th, 2014 at 06:51 PM. 
July 28th, 2014, 09:41 PM  #5 
Senior Member Joined: Jan 2012 Posts: 745 Thanks: 7 
So what, in terms of x, is 30% of 3y?

July 28th, 2014, 09:52 PM  #6 
Senior Member Joined: Nov 2013 From: Baku Posts: 502 Thanks: 56 Math Focus: Geometry  

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